Details

sample2.5m (60.6%)

Algorithm
21×intervals
Results
1.5m38644×body10240exit
15.3s7237×body1280valid
11.0s56683×body80valid
10.8s57654×body80nan
9.9s3429×body2560valid
5.7s4601×body640valid
1.7s2414×body320valid
588.0ms1205×body160valid
426.0ms8356×pre80true
154.0ms27×body5120valid
40.0ms12×body5120nan
35.0ms28×body2560nan
13.0ms19×body1280nan
11.0ms17×body640nan
3.0msbody320nan
3.0msbody160nan

simplify44.8s (18.3%)

rewrite23.2s (9.5%)

Algorithm
21×rewrite-expression-head
Calls

60 calls:

5.9s
(* n (- t (+ (* (* (* (* n (/ l Om)) (/ l Om)) (* (cbrt (- U U*)) (cbrt (- U U*)))) (cbrt (- U U*))) (* (* (/ l Om) 2) l))))
4.6s
(* (* U 2) (* n (- t (+ (* (* (* (* n (/ l Om)) (/ l Om)) (* (cbrt (- U U*)) (cbrt (- U U*)))) (cbrt (- U U*))) (* (* (/ l Om) 2) l)))))
4.4s
(sqrt (* (* U 2) (* n (- t (+ (* (* (* (* n (/ l Om)) (/ l Om)) (* (cbrt (- U U*)) (cbrt (- U U*)))) (cbrt (- U U*))) (* (* (/ l Om) 2) l))))))
1.3s
(* n (- t (+ (* (* (* n (/ l Om)) (/ l Om)) (- U U*)) (* (* (/ l Om) 2) l))))
968.0ms
(* (* U 2) (* n (- t (+ (* (* (* n (/ l Om)) (/ l Om)) (- U U*)) (* (* (/ l Om) 2) l)))))
Rules
210×pow1
196×add-sqr-sqrt
166×*-un-lft-identity
153×add-exp-log
147×add-cbrt-cube
124×add-cube-cbrt
81×pow-prod-down
60×add-log-exp insert-posit16
57×associate-*r*
56×associate-*r/
51×cbrt-unprod prod-exp
45×times-frac
41×associate-*l*
38×distribute-lft-in distribute-rgt-in
29×sqrt-pow1
28×sub-neg
22×exp-prod
21×difference-of-squares flip3-- flip-- distribute-lft-out--
20×log-pow
17×sqrt-prod
16×log-prod cbrt-prod
13×unswap-sqr
12×pow1/3 unpow-prod-down *-commutative
11×frac-times
10×sqrt-div pow-unpow
pow1/2
div-exp cbrt-undiv
associate-*l/
swap-sqr pow-pow
associate-/l* associate-/r*
rem-log-exp pow-prod-up unpow-prod-up exp-sum pow-sqr
div-inv
sinh-def associate-/l/ pow2 associate-/r/ rem-exp-log rem-sqrt-square sqr-pow pow-plus acos-asin pow-to-exp sqrt-pow2 pow-sub pow-exp
div-sub frac-2neg clear-num

series15.3s (6.2%)

Calls

60 calls:

2.4s
(sqrt (* (* U 2) (* n (- t (+ (* (* (* n (/ l Om)) (/ l Om)) (- U U*)) (* (* (/ l Om) 2) l))))))
2.3s
(sqrt (* (* U 2) (* n (- t (+ (* (* n (/ l Om)) (* (/ l Om) (- U U*))) (* (* (/ l Om) 2) l))))))
2.3s
(sqrt (* (* U 2) (* n (- t (+ (* (* (* (* n (/ l Om)) (/ l Om)) (* (cbrt (- U U*)) (cbrt (- U U*)))) (cbrt (- U U*))) (* (* (/ l Om) 2) l))))))
1.5s
(sqrt (* (* U 2) (* n (- t (+ (* (* (* n (/ l Om)) (/ l Om)) (- U U*)) (* (* (/ l Om) 2) l))))))
1.5s
(sqrt (* (* U 2) (* n (- t (+ (* (* (* n (/ l Om)) (/ l Om)) (- U U*)) (* (* (/ l Om) 2) l))))))

prune9.2s (3.7%)

regimes2.9s (1.2%)

Accuracy

Total 7.5b remaining (3.5%)

Threshold costs 0.6b (0.3%)

5.9b34.8%Toniolo and Linder, Equation (13)
1.1b0%Random Jason Timeout Test 006
0.4b0%Random Jason Timeout Test 012
0.2b0%Random Jason Timeout Test 004

localize1.0s (0.4%)

bsearch109.0ms (0.0%)

end1.0ms (0.0%)